Finding the Third Proportional to 46,024 and 99,090.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,024 : 99,090.50 = 99,090.50 : x
2. Step 2: Convert to fraction form
   46,024/99,090.50 = 99,090.50/x
3. Step 3: Cross multiply
   46,024x = 99,090.50 × 99,090.50
4. Step 4: Simplify right side
   46,024x = 9,818,927,190.25
5. Step 5: Solve for x
   x = 9,818,927,190.25/46,024
6. Step 6: Final answer
   x = 213,343.63